What is an equation of the line that passes through the points (6, -1) and (1, 4)?

The total volume of the tank is 300L.

The volume of a 3D figure is the space that it occupies.

Here, we are given that Yuki adds cleaning solution that is 7/900 of the tank's total volume.

Let the total volume of the tank be V

We know that the cleaning solution required to clean this tank is 2 1/3 L

Firstly, we need to convert this mixed fraction into an improper fraction, Thus, 2 1/3 = (2*3 + 1)/ 3

= 7/3 L

Thus, we can make the following equation,

(7/900)* V = 7/3

V = 7/3 (900/7)

V = 900/ 3

V = 300

Thus, the volume of the tank is 300L.

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Yuki works at an aquarium. To clean a tank, she calculates 7/ 900 of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be  2 1/3 L of cleaning solution. What is the total volume of the tank?

Answer:

300L

Step-by-step explanation:

Just did it on Khan academy.

Answer: Why is the question blank

Also the answer is 5.2

Step-by-step explanation:

Step-by-step explanation:

Replace x with y and y with x.

Then, try to isolate the y.

x=12y+7

x-7=12y

(x-7)/12=y

f^-1(x)=(x-7)/12

Answer: 1L = 1000 mL

Step-by-step explanation:

1.     1 milligram (mg) is equal to 0.001 gram (gm), so 10mg = 0.01. The first choice is incorrect

2.    1 liter (L) = 1000 milliliter (mL) so the second choice is correct

3.    1 microgram (mcg) is equal to 0.001 milligram (mg), so the third                                                                 choice is incorrect.

4.    1 liter (L) = 1000 milliliter (mL), so the fourth choice is evidently                                        incorrect. (1000 L would be 1,000,000 mL)

in the figure, the first number line goes with x [tex]\leq[/tex]5

the second number line goes with x [tex]\geq[/tex] 5

the third number line goes with x > 5

the fourth number line goes with x < 5

Two less than 3/2 of a number x is  no more than 5/2 is shown as:

3/2 x- 2 [tex]\leq[/tex] 5 1/2

3/2 x [tex]\leq[/tex] 11/2 + 2

3/2 x [tex]\leq[/tex] 15/2

3x [tex]\leq[/tex] 15

x [tex]\leq[/tex] 5

The sum of two times a number (x) and -2 is at least 8 is shown as :

2x+(-2) [tex]\geq[/tex] 8

2x - 2 [tex]\geq[/tex] 8

2x [tex]\geq[/tex] 8+2

2x [tex]\geq[/tex] 10

x [tex]\geq[/tex] 5

Seven subtracted from 4 times a number (x) is more than 13 is shown as

4x -7 > 13

4x > 13+7

4x > 20

x > 20 ÷ 4

x > 5

Four added to 3 times a number (x) is less than 19 is shown as

3x + 4 < 19

3x < 19-4

3x < 15

x < 15 ÷ 3

x< 5

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The expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖

To solve each of the expressions involving fractions, convert mixed fractions into improper fractions before finding the quotient of each.

1. 4 ⅔ ÷ 5 ¼

Convert to improper fractions

14/3 ÷ 21/4

14/3 × 4/21

= 56/63 (less than 1)

2. 3 ⅛ ÷ 2 ⅖

Convert to improper fractions

25/8 ÷ 12/5

25/8 × 5/12

125/96 (greater than 1)

3. 1 6/7 ÷ 2 1/3

13/7 ÷ 7/3

13/7 × 3/7

= 39/49 (less than 1)

4. 5 3/4 ÷ 7 ⅜

23/4 ÷ 59/8

23/4 × 8/59

= 184/236 (less than 1)

Therefore, the expression involving fractions that have a quotient less than 1 is: 2. 3 ⅛ ÷ 2 ⅖

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Answer:

m+k=hw

m=hw-m

always conside BODMAS rule and subject

Mario viaja 48 segundos para encontrarse con Luis.

La distancia se define como la longitud de la trayectoria real recorrida por una partícula en movimiento. El desplazamiento se define como la distancia más corta entre la posición inicial y final de un cuerpo. La distancia recorrida por una partícula en una unidad de tiempo se conoce como velocidad.

La distancia entre Luis y Mario es de 240 metros.

La velocidad al caminar de Luis es de 3 m/s.

La velocidad al caminar de Mario es de 5 m/s.

La distancia se puede definir como el producto de la velocidad y el tiempo que tarda el objeto.

Por lo tanto,

Para que Mario alcance a Luis,

Distancia = Velocidad × Tiempo

240 = 5 × t

t = 240/5 = 48 sec.

Mario tiene que viajar durante 48 segundos para encontrarse con Luis.

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Answer:

10

Step-by-step explanation:

[tex]x=0 \implies x\in \{-15, -12, 0, 10\} \\ \\ \therefore f(0)=11-|0-1|=10[/tex]

Answer:

2.5 & 3.5

Step-by-step explanation:

152 = 12+96t- 16t²

140+96t- 16t²=0

152 = 12+96t- 16t²

4t²-24t+35=0

(2t-7)(2t-5)=0

t = 2.5 & 3.5

From the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that all integers a, b, and n, if n = a + b, then a ≤ n/2 or b ≤ n/2. Let the value of a = 3 and b = 3 now the value of n will be:-

n = a + b

n = 3 + 3 = 6

a = 3, n = 6 then a ≤ n/2.

b = 3, n = 6 then  b ≤ n/2.

Therefore, the example that if a = 3 and b = 3 so the value of n = 6. It means that a ≤ n/2 and b ≤ n/2.

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Answer:

Point of intersection of its diagonals

Step-by-step explanation:

The state income tax owed on a $30,000 per year salary is $1,524

What are the applicable tax rates?

The applicable tax rates are that the first $2,000 of taxable income is taxed  at 2%, such that $9000 minus the earlier $2000, is taxed at 5% and any taxable income beyond $9,000 is taxed at 5.4%, in essence, the income tax owed by a taxpayer whose taxable income is $30,000 is computed thus:

income tax on first threshold=$2000*2%=$40

income tax on second threshold=($9000-$2000)*5%=$350

income tax on the last threshold=($30,000-$9,000)*5.4%=$1,134

total state income tax owed=$40+$350+$1,134

total state income tax owed=$1,524

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Answer: They will need to sell 1,500,000 to break even.

12,000,000 / 8 is 1,500,000

Answer:

500

Step-by-step explanation:

500*2=1000

1000/2=500

The values are different on both sides, this shows that the equation has no solution.

Linear equations are equation that has a linear degree of 1. Given the expression below;

10x = 2.5x

You can see that the variable of "x" are on on both sides, hence we can cancel them out to have:

10x/x = 2.5x/x

10 = 2.5

From the result, you can see that the values are different on both sides, this shows that the equation has no solution.

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The linear equation has only one solution, which is x = 0.

Here we have the linear equation:

10x = 2.5*x

Let's solve this to see how many solutions we have, if we subtract 2.5x in both sides we get:

10x - 2.5x = 0

7.5x = 0

The only solution of this linear equation is x = 0.

7.5*0 = 0

Then we can conclude that the equation has only one solution, which is x = 0.

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Answer:

For the first question:

For the second question:

Step-by-step explanation:

Hope it helps! =D

Answer:

yes i think thats right

Step-by-step explanation:

if not then it might be b

(a) The change in the tram's elevation (speed) each second is 3 meters/Sec

(b) The total change in temperature of the substance was 160 Celsius.

(a) The tram moves downward 21 meters in 7 second. So, the speed of the tram is 21/7 = 3 meters/Sec, which is the tram’s elevation each second.

We know that, speed = (total distance travel)/(Total travelling time)

(b) The substance was heated by 4 Celsius each hour for 40hours.

Therefore, the total change in temperature is = (4x40) = 160 celcius.

The degree Celsius is the unit of temperature on the Celsius scale, originally known as centigrade scale

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Answer:

(a) The change in the tram's elevation (speed) each second is 3 meters/Sec

(b) The total change in temperature of the substance was 160 Celsius.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Take 92 and divide by 3

3*30 = 90

92-90 = 2

There are 2 donuts left over

The coordinates of our position after moving up and down will be (0, -7)

We are given a coordinate plane and we are standing at the origin of the plane.

That is, our position is (0, 0).

Now, we move 2 units in the positive direction.

So, now our position will be:

(0, 2)

Then, we move downward a distance of 9 units.

So, our position will now become:

(0, 2 - 9)

(0, -7)

Therefore, the coordinates of our position after moving up and down will be (0, -7)

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Answer:

Solved using 2 different methods, used the definition of derivative aswell.

Answer:

  852

Step-by-step explanation:

You want the next number in the pattern that starts with 5, 12, 33, 96, 285.

When looking for patterns in sequences, it is often useful to consider first differences and the relations between them.

  12 -5 = 7

  33 -12 = 21

  96 -33 = 63

  285 -96 = 189

We notice that these differences have a common ratio of 3. This suggests the next difference will be 189×3 = 567.

The next number in sequence is 285 +567 = 852.

__

Additional comment

When differences have a common ratio, an exponential sequence is indicated. These differences have a ratio of 3, but are not powers of 3, so the exponential term needs additional components to completely describe the sequence. We expect there are horizontal and vertical offsets involved.

Exponential regression gives the explicit formula as ...

  y = (3 +7·3^(x-1))/2

Answer:Option C J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Step-by-step explanation:

we know that

The rule of the translation is

(x,y) -----> (x-4,y+4)

That means ----> The translation is 4 units at left and 4 units up

Find out the coordinates of the pre-image

Observing the figure

J(1,0),N(5,0),M(5,-3),P(2,-5)

Find out the coordinates of the image

Applying the rule of the translation at the coordinates of pre-image

J(1,0) -----> J'(1-4,0+4)

J(1,0) -----> J'(-3,4)

N(5,0) ---> N'(5-4,0+4)

N(5,0) ---> N'(1,4)

M(5,-3)----> M'(5-4,-3+4)

M(5,-3)----> M'(1,1)

P(2,-5) ----> P'(2-4,-5+4)

P(2,-5) ----> P'(-2,-1)

therefore

The coordinates of the image (after the transformation) are

J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Answer:

:Option C J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1)

Step-by-step explanation:

My pleasure to help people

(d) the Present United States is not a good example of a command economy.

A command economy is a crucial component of a political system in the economy in which the degree of output that is permitted and the prices that may be paid for goods and services are set by a central governing body. Most industries are owned by the public.

The principal alternative to a command economy is a free market b where supply and demand determine prices and output.

A communist political system includes a command economy, whereas capitalist countries have a free market.

Cuba, North Korea, and the former Soviet Union all have command economies. Up until 1978, when it started to shift to a mixed economy that combines communist and capitalist features, China maintained a command economy. A socialist market economy has been used to characterize its existing setup.

The central government of a country must possess and manage the means of production in a command economy, commonly referred to as a planned economy.

There is no private ownership of land or capital, or it is very restricted. Prices are determined by central planners, who also manage production levels and restrict or forbid competition in the private sector. There is no private sector in a command economy because all companies are owned by or under the supervision of the central government.

Government officials establish national economic priorities in a command economy, such as when and how to promote economic growth, how to share resources, and how to disperse the produce. This frequently takes the shape of a long-term plan.

Hence, the United States today is not a very good example of a command economy.

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Greetings from Brasil...

In a trigonometric function of Cosine, we have:

where

A = move the graph up or down

B = change the amplitude

M = change period

N = move the graph left or right without distorting it

According to the statement, we don't have A and N, so

F(X) = ± B.COS(MX)

According to the graph presented, we have:

B = amplitude = 2.5 = 5/2

period = π

detail that

Period = 2π/M

π = 2π/M ⇒ M = 2

As B = 5/2 and M = 2, then

(I used the cosine function, because in X = 0  Y will have a non-zero value, as we can see in the graph)

Answer:

20

Step-by-step explanation:

Hope the picture helps

You keep subtracting until you get zero and you keep adding the same amount

If Peter wanted to buy only postcards, he could buy 2 postcards.

Given that,

Peter can afford to buy either 4 postcards and 9 stickers or 8 postcards and 6 stickers.

Both options leave him with no change.

Peter wants to buy only postcards.

Assume that the cost of a postcard is the same as the cost of a sticker.

In the first scenario,

Peter spends the same amount on postcards and stickers.

So, if he wanted to buy only postcards,

He could buy half the number of postcards he could buy in the first scenario.

Therefore, Peter would be able to buy 2 postcards if he wanted to buy only postcards.

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1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.

1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.

2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.

2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.

3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.

3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.

4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.

4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.

3a. Sales commissions per unit is $1.30.

3a. The number of units sold is 14,000 units.

3a. Total sales commission is $18,200.

3a. Fixed portion of sales representatives’ compensation is $14,000.

3a. Total direct selling expense is $18,200.

3b. The total indirect selling expense is $14,000.

Relevant production range = 12,000 to 16,000 units

Production and sales units = 14,000 units

                                                  Average Cost

                                                       per Unit

Direct materials                                $ 7.30

Direct labor                                      $ 4.30

Variable manufacturing overhead  $ 1.80

Direct cost per unit                         $13.40

Fixed manufacturing overhead     $ 5.30

Total manufacturing cost per unit $18.70

Fixed selling expense                   $ 3.80    $53,200 ($3.80 x 14,000)

Fixed administrative expense      $ 2.80     $39,200 ($2.80 x 14,000)

Total fixed costs per unit               $6.60     $92,400 ($6.60 x 14,000)

Variable selling and admin:

Sales commissions                        $ 1.30

Variable administrative expense $ 0.80

Total variable selling and admin per unit = $2.10

1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).

1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).

2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).

2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).

3) Fixed selling expenses =  $53,200 ($3.80 x 14,000)

Advertising expenses = $39,200

Sales Compensation = $14,000 ($53,200 - $39,200)

Sales Commission = $18,200 ($1.30 x 14,000)

Total Salespersons' compensation = $32,200

a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.

b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.

4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.

4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.

3a. Sales commissions per unit is $1.30.

3a. The number of units sold is 14,000 units.

3a. Total sales commission is $18,200 (14,000 x $1.30)

3a. Fixed portion of sales representatives’ compensation is $14,000.

3a. Total direct selling expense is $18,200.

3b. The total indirect selling expense is $14,000.

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